Ghergu, MariusMariusGhergu2015-11-092017-06-012015 Elsev2015-06Nonlinear Analysis: Theory Methods and Applicationshttp://hdl.handle.net/10197/7191We study the semilinear elliptic system... where Ω⊂R^N(N≥1) is a smooth and bounded domain, p,q,r,s>0. Under suitable ranges of exponents we obtain various results regarding the well posedness of our system.enThis is the author’s version of a work that was accepted for publication in Nonlinear Analysis: Theory Methods and Applications. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Nonlinear Analysis: Theory Methods and Applications (VOL 119, (2015)) DOI: 10.1016/j.na.2014.08.013.Singular elliptic systemNegative exponentsBoundary behaviorJournal Article1199810510.1016/j.na.2014.08.0132015-10-21https://creativecommons.org/licenses/by-nc-nd/3.0/ie/